2002102002097 has 2 divisors, whose sum is σ = 2002102002098. Its totient is φ = 2002102002096.

The previous prime is 2002102002073. The next prime is 2002102002157. The reversal of 2002102002097 is 7902002012002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1882167230241 + 119934771856 = 1371921^2 + 346316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002102002097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002102102097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001051001048 + 1001051001049.

It is an arithmetic number, because the mean of its divisors is an integer number (1001051001049).

Almost surely, 2^{2002102002097} is an apocalyptic number.

It is an amenable number.

2002102002097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002102002097 is an equidigital number, since it uses as much as digits as its factorization.

2002102002097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 2002102002097 its reverse (7902002012002), we get a palindrome (9904104014099).

The spelling of 2002102002097 in words is "two trillion, two billion, one hundred two million, two thousand, ninety-seven".